-изоморфизмы смешанных абелевых групп ранга
Separable and vector groups whose projectively invariant subgroups are fully invariant.
Skeletons, bodies and generalized -algebras
Slender modules, endo-slender abelian groups and large cardinals
Small almost free modules with prescribed topological endomorphism rings
Some generalizations of torsion-free Crawley groups
In this paper we investigate two new classes of torsion-free Abelian groups which arise in a natural way from the notion of a torsion-free Crawley group. A group is said to be an Erdős group if for any pair of isomorphic pure subgroups with , there is an automorphism of mapping onto ; it is said to be a weak Crawley group if for any pair of isomorphic dense maximal pure subgroups, there is an automorphism mapping onto . We show that these classes are extensive and pay attention to...
Some morphisms of modules over the ring of pseudorational numbers.
Strong -groups
Subgroups of the Baer–Specker group with few endomorphisms but large dual
Assuming the continuum hypothesis, we construct a pure subgroup G of the Baer-Specker group with the following properties. Every endomorphism of G differs from a scalar multiplication by an endomorphism of finite rank. Yet G has uncountably many homomorphisms to ℤ.
Sur la limite du degré des groupes primitifs qui contiennent une substitution donnée.